The linear equation in slope-intercept format representing the population of Jose's town is y = 320x + 2400. The town's population in 1995 was recorded at 2400, increasing to 4000 by 2000. By establishing x as the number of years since 1995, we derive the linear equation from the change in population per year.
It is provided that
We need to determine t when d equals 74
Thus, 
or
t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t cannot be negative.
Thus, t equals 2
Therefore, it will require 2 seconds for the object to cover 74 feet.
Response:
The fence's width is 6 feet.
Detailed explanation:
To start, let’s define some variables.
Let the width of the fence be denoted as w, and the length as l.
Next, determine the length: the width is 2 feet less than half of the length.
w = l/2 - 2
Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).
The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:
P = 2(l + w)
Inserting what we know:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 36
w = 36/6
w = 6 feet
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
Answer:
It could either be 455 or 680, based on assumptions.
Step-by-step explanation:
Assuming the three choices are distinct, we can calculate...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to create the pizza.
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In the case where two or more of the toppings may be identical, this would lead to...
2(15C2) + 15C1 = 2·105 + 15 = 225
additional combinations, resulting in a grand total of...
455 + 225 = 680
unique pizza varieties.
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There is a multiplication factor of 2 for the two-topping selections, since it allows for variations like double anchovies and tomatoes or double tomatoes and anchovies when the topping choices are anchovies and tomatoes.
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nCk = n!/(k!(n-k)!)
